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Finding the Fourth Proportional to 565.89, 781.25 and 379.99

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Solution

The fourth proportional to 565.89, 781.25 and 379.99 is: 524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.89 : 781.25 = 379.99 : x
  2. Step 2: Convert to fraction form
    565.89/781.25 = 379.99/x
  3. Step 3: Cross multiply
    565.89x = 781.25 × 379.99
  4. Step 4: Simplify right side
    565.89x = 296,866.26
  5. Step 5: Solve for x
    x = 296,866.26/565.89
  6. Step 6: Final answer
    x = 524.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.